Polynomial tau-functions for the multicomponent KP hierarchy

DOI10.4171/PRIMS/58-1-1zbMath1483.14085arXiv1901.07763MaRDI QIDQ2119199

Victor G. Kac, Johan W. van de Leur

Publication date: 23 March 2022

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07763

zbMATH Keywords

KP hierarchySchur polynomialstau-functionsmulticomponent KP

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Grassmannians, Schubert varieties, flag manifolds (14M15) Applications of Lie groups to the sciences; explicit representations (22E70) Kac-Moody groups (20G44)

Related Items (5)

The generalization of strong anisotropic XXZ model and UC hierarchy ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ Two types of universal characters and the integrable hierarchies ⋮ Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions

Cites Work

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• Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The n-component KP hierarchy and representation theory

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